1241735040 has 768 divisors, whose sum is σ = 5560289280. Its totient is φ = 248168448.

The previous prime is 1241735003. The next prime is 1241735051. The reversal of 1241735040 is 405371421.

It is a junction number, because it is equal to n+sod(n) for n = 1241734995 and 1241735013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12055629 + ... + 12055731.

It is an arithmetic number, because the mean of its divisors is an integer number (7239960).

Almost surely, 2^1241735040 is an apocalyptic number.

1241735040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1241735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780144640).

1241735040 is an abundant number, since it is smaller than the sum of its proper divisors (4318554240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1241735040 is a wasteful number, since it uses less digits than its factorization.

1241735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1241735040 is about 35238.2610240630. The cubic root of 1241735040 is about 1074.8379175139.

The spelling of 1241735040 in words is "one billion, two hundred forty-one million, seven hundred thirty-five thousand, forty".